Advanced Aerodynamic Analysis of Suspension Bridges by State-Space Approach
Publication: Journal of Structural Engineering
Volume 125, Issue 12
Abstract
An advanced and unique finite-element-based aerodynamic model that can be used to analyze both flutter instability and buffeting response in the time domain is presented. The equation of motion in the time domain is expressed in modal-coordinate state-space form. The frequency-dependent flutter derivatives are transferred into the time-dependent rational function, through which the coupling effects of three-dimensional aerodynamic motions under gusty wind can be accurately considered. The buffeting forces are considered through the quasi-steady formulation together with the appropriate aerodynamic admittances. A multidimensional autoregressive moving average model is used to simulate the fluctuating wind velocities along the bridge. The numerical examples are performed on the three-dimensional finite-element model of the Akashi Kaikyo Bridge with a main span length of 1,990 m. The results show that good agreement in the buffeting response is obtained between the analytical results and the experimental results of the full-bridge aeroelastic model in the wind-tunnel test. Various significant parameters affecting buffeting response are also extensively investigated.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Agar, T. J. A. (1991). “Dynamic instability of suspension bridges.” Comp. and Struct., 41(6), 1321–1328.
2.
Boonyapinyo, V., Yamada, H., and Miyata, T. (1994). “Wind-induced nonlinear lateral-torsional buckling of cable-stayed bridges.”J. Struct. Engrg., ASCE, 120(2), 486–506.
3.
Bush, N. E., and Panofsky, H. A. (1968). “Recent spectra of atmospheric turbulence.” Quarterly J. Royal Meteorological Soc., Bracknell, U.K., 94.
4.
Davenport, A. G. (1962). “Buffeting of a suspension bridge by storm winds.”J. Struct. Div., ASCE, 88(3), 233–268.
5.
Diana, G., et al. (1986). “Wind effects on the dynamic behavior of a suspension bridge.” Tech. Rep., Departimento di Meccanica, Politecnico di Milano, Milan.
6.
Fujino, Y., Wilde, K., Masukawa, J., and Bhartia, B. (1995). “Rational function approximation of aerodynamics forces on bridge deck and its application to active control of flutter.” Proc., 9th Int. Conf. on Wind Engrg., Wiley Eastern Ltd., New Delhi, India, 994–1005.
7.
Hino, M. (1971). “Spectrum of gusty wind.” Proc., 3rd Int. Conf. on Wind Effects on Build. and Struct., Saikon, Ltd., Tokyo, 69–77.
8.
Holmes, J. D. (1975). “Prediction of the response of a cable stayed bridge to turbulence.” Proc., 4th Int. Conf. on Wind Effects on Build. and Struct., Cambridge University Press, New York, 187–197.
9.
Honshu-Shikoku Bridge Authority. (1995). “Full-bridge-model wind-tunnel experiment of Akashi Kaikyo Bridge.” Ann. Rep. 1995, Tokyo (in Japanese).
10.
Jain, A., Jones, N. P., and Scanlan, R. H. (1995). “Fully-coupled buffeting analysis of long-span bridges.” Proc., 9th Int. Conf. on Wind Engrg., Wiley Eastern Ltd., New Delhi, India, 962–971.
11.
Karpel, M. (1982). “Design for active flutter suppression and gust alleviation using state-space aeroelastic modeling.” J. Aircraft, 19(3), 221–227.
12.
Kovacs, I., Svensson, H. S., and Jordet, E. (1992). “Analytical aerodynamic investigation of cable-stayed Helgeland Bridge.”J. Struct. Engrg., ASCE, 118(1), 147–168.
13.
Li, M., and He, D. (1995). “The statistical approach to buffeting of long-span bridge.” Proc., 9th Int. Conf. on Wind Engrg., Wiley Eastern Ltd., New Delhi, India, 893–904.
14.
Miyata, T. (1995). “Full model testing of large cable-supported bridges.” Proc., 9th Int. Conf. on Wind Engrg., Wiley Eastern Ltd., New Delhi, India, 249–280.
15.
Miyata, T., Kitagawa, M., Yamada, H., Kanazaki, T., and Toriumi, R. (1994a). “Design consideration on 3-dimensional gust response in the Akashi Kaikyo Bridge.” Proc., Int. Conf. on Cable-Stayed and Suspension Bridges, International Association for Bridge and Structural Engineering, Zurich, 171–178.
16.
Miyata, T., Tada, K., Satoo, H., Katsuchi, H., and Hikami, Y. (1994b). “New finding of coupled-flutter in full model wind tunnel tests on the Akashi Kaikyo Bridge.” Proc., Int. Conf. on Cable-Stayed and Suspension Bridges, International Association for Bridge and Structural Engineers, Zurich, 163–170.
17.
Miyata, T., and Yamada, H. (1988). “Coupled flutter estimate of a suspension bridge.” J. Wind Engrg., Tokyo, 37, 485–492.
18.
Miyata, T., Yamada, H., Boonyapinyo, V., and Santos, J. C. (1995). “Analytical investigation on the response of a very long suspension bridge under gusty wind.” Proc., 9th Int. Conf. on Wind Engrg., Wiley Eastern Ltd., New Delhi, India, 1006–1017.
19.
Qu, W. L., and Xiang, H. F. (1993). “An analytical method for buffeting response of flexible bridge with aerodynamics coupling between modes.” Proc., 3rd Asia-Pacific Symp. on Wind Engrg., Hong Kong, 181–185.
20.
Roger, K. (1977). “Airplane math modeling for active control design: structural aspects of active control.” AGARD-CP-228, Advisory Group for Aerospace Research and Development, Neuilly-sur-Seine, France.
21.
Samaras, E., Shinozuka, M., and Tsurui, A. (1985). “ARMA representation of random processes.”J. Engrg. Mech., ASCE, 111(3), 449–461.
22.
Scanlan, R. H. (1984). “Role of indicial functions in buffeting analysis of bridges.”J. Struct. Engrg., ASCE, 110(7), 1433–1446.
23.
Scanlan, R. H. (1988). “On flutter and buffeting mechanisms in long-span bridges.” Probabilistic Engrg. Mech., 3(1), 22–27.
24.
Scanlan, R. H. (1988). “On flutter and buffeting mechanisms in long-span bridges.” Probabilistic Engrg. Mech., 3(1), 22–27.
25.
Scanlan, R. H. (1993). “Problematics in formulation of wind-force models for bridge decks.”J. Engrg. Mech., ASCE, 119(7), 1353–1375.
26.
Scanlan, R. H., and Gade, R. H. (1977). “Motion of suspended bridge spans under gusty wind.”J. Struct. Engrg., ASCE, 103(9), 1867–1883.
27.
Scanlan, R. H., and Jones, N. P. (1990). “Aeroelastic analysis of cable-stayed bridges.”J. Struct. Engrg., ASCE, 116(2), 279–297.
28.
Scanlan, R. H., and Tomko, J. J. (1971). “Airfoil and bridge deck flutter derivatives.”J. Engrg. Mech., ASCE, 97(6), 1717–1737.
29.
Simiu, E., and Scanlan, R. H. (1986). Wind effects on structures, 2nd Ed., Wiley, New York.
30.
Tiffany, S. H., and Adams, W. M. (1988). “Nonlinear programming extensions to rational function approximation methods for unsteady aerodynamic forces.” NASA Tech. Paper 2776, National Aeronautics and Space Administration, Washington, D.C.
31.
Wind resistant design code for Akashi Kaikyo Bridge. (1990). Honshu-Shikoku Bridge Authority, Tokyo (in Japanese).
32.
Xiang, H. F., Liu, C. H., and Gu, M. (1995). “Time-domain analysis for coupled buffeting response of long span bridge.” Proc., 9th Int. Conf. on Wind Engrg., Wiley Eastern Ltd., New Delhi, India, 881–892.
Information & Authors
Information
Published In
History
Received: Jun 8, 1998
Published online: Dec 1, 1999
Published in print: Dec 1999
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.